Proceedings of the Japan Academy, Series A, Mathematical Sciences

An application of a certain fractional derivative operator

Shigeyoshi Owa and H. M. Srivastava

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 66, Number 10 (1990), 307-311.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195512292

Digital Object Identifier
doi:10.3792/pjaa.66.307

Mathematical Reviews number (MathSciNet)
MR1103964

Zentralblatt MATH identifier
0728.30013

Subjects
Primary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)

Citation

Owa, Shigeyoshi; Srivastava, H. M. An application of a certain fractional derivative operator. Proc. Japan Acad. Ser. A Math. Sci. 66 (1990), no. 10, 307--311. doi:10.3792/pjaa.66.307. https://projecteuclid.org/euclid.pja/1195512292


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References

  • [1] B. C. Carlson and D. B. Shaffer: Starlike and prestarlike hypergeometric functions. SIAM J. Math. Anal., 15, 737-745 (1984).
  • [2] P. L. Duren: Univalent Functions. Grundlehren der mathematischen Wissen-schaften, 259, Springer-Verlag, New York, Berlin, Heidelberg, and Tokyo (1983).
  • [3] S. Owa and H. M. Srivastava: Univalent and starlike generalized hypergeometric functions. Canad. J. Math., 39, 1057-1077 (1987).
  • [4] S. Ruscheweyh: Linear operators between classes of prestarlike functions. Comment. Math. Helv., 52, 497-509 (1977).
  • [5] N. S. Sohi: Distortion theorems involving certain operators of fractional calculus on a class of p-valent functions. Fractional Calculus and Its Applications (ed. K. Nishimoto). College of Engineering (Nihon University) Koriyama, pp. 245-252 (1990).
  • [6] H. M. Srivastava and S. Owa (eds.) : Univalent Functions, Fractional Calculus, and Their Applications. Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto (1989).